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Finding the Third Proportional to 219,797 and 451,240

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Solution

The third proportional to 219,797 and 451,240 is: 926,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,797 : 451,240 = 451,240 : x
  2. Step 2: Convert to fraction form
    219,797/451,240 = 451,240/x
  3. Step 3: Cross multiply
    219,797x = 451,240 × 451,240
  4. Step 4: Simplify right side
    219,797x = 203,617,537,600
  5. Step 5: Solve for x
    x = 203,617,537,600/219,797
  6. Step 6: Final answer
    x = 926,389.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.